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Finding the Fourth Proportional to 538,956.16, 808,296.33 and 159,788.22

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Solution

The fourth proportional to 538,956.16, 808,296.33 and 159,788.22 is: 239,641.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,956.16 : 808,296.33 = 159,788.22 : x
  2. Step 2: Convert to fraction form
    538,956.16/808,296.33 = 159,788.22/x
  3. Step 3: Cross multiply
    538,956.16x = 808,296.33 × 159,788.22
  4. Step 4: Simplify right side
    538,956.16x = 129,156,231,803.23
  5. Step 5: Solve for x
    x = 129,156,231,803.23/538,956.16
  6. Step 6: Final answer
    x = 239,641.45

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.